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Finding the Fourth Proportional to 287,751.96, 431,567.46 and 77,391.72

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Solution

The fourth proportional to 287,751.96, 431,567.46 and 77,391.72 is: 116,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,751.96 : 431,567.46 = 77,391.72 : x
  2. Step 2: Convert to fraction form
    287,751.96/431,567.46 = 77,391.72/x
  3. Step 3: Cross multiply
    287,751.96x = 431,567.46 × 77,391.72
  4. Step 4: Simplify right side
    287,751.96x = 33,399,748,025.43
  5. Step 5: Solve for x
    x = 33,399,748,025.43/287,751.96
  6. Step 6: Final answer
    x = 116,071.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.